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Finding the Third Proportional to 648,081 and 969,934.50

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Solution

The third proportional to 648,081 and 969,934.50 is: 1,451,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,081 : 969,934.50 = 969,934.50 : x
  2. Step 2: Convert to fraction form
    648,081/969,934.50 = 969,934.50/x
  3. Step 3: Cross multiply
    648,081x = 969,934.50 × 969,934.50
  4. Step 4: Simplify right side
    648,081x = 940,772,934,290.25
  5. Step 5: Solve for x
    x = 940,772,934,290.25/648,081
  6. Step 6: Final answer
    x = 1,451,628.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.